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Interested by Rational Homotopy Theory and Homological Algebra.

Feb
24
awarded  Student
Feb
24
comment Cohomology of configuration space of a compact manifold
I use the classical the following definition of ordered configuration space: Let $M$ an $m-$dimensional manifold. The space of ordered configurations of $k$ pointsis the space $$F(M,k)=\{(x_1,...,x_k)\in M^k ;x_i\neq x_j for i\neq j \}$$, and we ask to find the rational cohomology of this space.
Feb
23
comment Cohomology of configuration space of a compact manifold
I mean how to calculate the rational cohomology of the configuration space of a compact manifold simply connected in general, or if it is possible determinate a model fot the configuration space, i know that Kriz and Totaro gave a model for the configuration spaces $F(M,k)$ when $M$ is a complex projective manifold, but in general case, it is possible to use the same technics to determinate it?
Feb
23
asked Cohomology of configuration space of a compact manifold